And so do you. The goal of alchemy is the art of transmutaion of metals and the stone was only one way on how to accomplish it among many others.

No, I don't, I base my statements on what most alchemists themselves said and believed. Most alchemists vehemently denied transmutation except by means of the Stone, while some others accepted the "particular tinctures" as well, but all of them require the secret solvent for their preparation as well. Most alchemists scoffed and mocked anyone who tried to obtain transmutation by any other means and labelled them as "sophists", "puffers", "multipliers", "vulgar chymists", etc. And they were totally WRONG. There's quite a number of other processes which do not require the secret solvent or the Stone to achieve transmutation. So to summarize it: what distinguishes "alchemy" from "chymistry" is in fact the secret solvent. Alchemy revolves around it. Chymistry does not know how to prepare this solvent, but it discovered other methods to achieve transmutations, which were unknown or stubbornly denied by most alchemists.